Quantitative Analysis & Numerical Modeling Projects
Accelerated Algorithm for Solving Complex PDE Equations
Developed a highly optimized numerical algorithm to solve complex dispersion equations in waveguide and periodic media modeling, achieving significantly faster convergence and higher accuracy.
Monte Carlo Simulation for Heat Diffusion
Used stochastic methods to solve the heat diffusion equation with high precision. Demonstrated the connection between probabilistic and deterministic PDE solvers.
Custom Ray Tracing Package
Packaged an efficient ray tracing code from scratch to simulate optical systems, using a modular and reusable structure for high performance and flexibility.
STPV Efficiency Modeling and Optimization
Built a full numerical simulation pipeline to compute and boost the efficiency of solar thermophotovoltaic (STPV) systems, incorporating spectral integration, emissivity tuning, and filter design.
Electromagnetic Wave Simulation with RCWA
Implemented rigorous coupled-wave analysis (RCWA) to model wave propagation and reflection in photonic structures, including diffraction gratings and metasurfaces.
FDFD for Electromagnetic Waves Propagation
Used the finite-difference frequency-domain method (FDFD) to simulate how EM waves interact with materials, allowing design of custom optical responses in layered media.
